0.25(5+x)+0.75(x+1)=2.5

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Solution for 0.25(5+x)+0.75(x+1)=2.5 equation: 


Simplifying
0.25(5 + x) + 0.75(x + 1) = 2.5
(5 * 0.25 + x * 0.25) + 0.75(x + 1) = 2.5
(1.25 + 0.25x) + 0.75(x + 1) = 2.5

Reorder the terms:
1.25 + 0.25x + 0.75(1 + x) = 2.5
1.25 + 0.25x + (1 * 0.75 + x * 0.75) = 2.5
1.25 + 0.25x + (0.75 + 0.75x) = 2.5

Reorder the terms:
1.25 + 0.75 + 0.25x + 0.75x = 2.5

Combine like terms: 1.25 + 0.75 = 2
2 + 0.25x + 0.75x = 2.5

Combine like terms: 0.25x + 0.75x = 1x
2 + 1x = 2.5

Solving
2 + 1x = 2.5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 1x = 2.5 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 2.5 + -2
1x = 2.5 + -2

Combine like terms: 2.5 + -2 = 0.5
1x = 0.5

Divide each side by '1'.
x = 0.5

Simplifying
x = 0.5

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